Vanishing Results for Toric Varieties Associated
نویسندگان
چکیده
Toric varieties associated with root systems appeared very naturally in the theory of group compactifications. Here they are considered in a very different context. We prove the vanishing of higher cohomology groups for certain line bundles on toric varieties associated to GLn and G2. This can be considered of general interest and it improves the previously known results for these varieties. We also show how these results give a simple proof of a converse to Mazur’s inequality for GLn and G2 respectively. It is known that the latter imply the non-emptiness of some affine Deligne-Lusztig varieties. Dedicated to Scarlett MccGwire and Dr. Christian Duhamel
منابع مشابه
VANISHING RESULTS FOR TORIC VARIETIES ASSOCIATED TO GL n AND G 2
Toric varieties associated with root systems appeared very naturally in the theory of group compactifications. Here they are considered in a very different context. We prove the vanishing of higher cohomology groups for certain line bundles on toric varieties associated to GLn and G2. This can be considered of general interest and it improves the previously known results for these varieties. We...
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